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Finding the Fourth Proportional to 176.48, 263.25 and 147.77

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Solution

The fourth proportional to 176.48, 263.25 and 147.77 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.48 : 263.25 = 147.77 : x
  2. Step 2: Convert to fraction form
    176.48/263.25 = 147.77/x
  3. Step 3: Cross multiply
    176.48x = 263.25 × 147.77
  4. Step 4: Simplify right side
    176.48x = 38,901.60
  5. Step 5: Solve for x
    x = 38,901.60/176.48
  6. Step 6: Final answer
    x = 220.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.